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Finding the Fourth Proportional to 260,083.76, 390,139.13 and 82,604.66

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Solution

The fourth proportional to 260,083.76, 390,139.13 and 82,604.66 is: 123,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.76 : 390,139.13 = 82,604.66 : x
  2. Step 2: Convert to fraction form
    260,083.76/390,139.13 = 82,604.66/x
  3. Step 3: Cross multiply
    260,083.76x = 390,139.13 × 82,604.66
  4. Step 4: Simplify right side
    260,083.76x = 32,227,307,822.63
  5. Step 5: Solve for x
    x = 32,227,307,822.63/260,083.76
  6. Step 6: Final answer
    x = 123,911.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.